120414250510340 has 24 divisors (see below), whose sum is σ = 252870571685592. Its totient is φ = 48165577230080.

The previous prime is 120414250510339. The next prime is 120414250510361. The reversal of 120414250510340 is 43015052414021.

It can be written as a sum of positive squares in 4 ways, for example, as 36607146547456 + 83807103962884 = 6050384^2 + 9154622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120414250510297 and 120414250510306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559160 + ... + 15528720.

It is an arithmetic number, because the mean of its divisors is an integer number (10536273820233).

Almost surely, 2^{120414250510340} is an apocalyptic number.

120414250510340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414250510340 is an abundant number, since it is smaller than the sum of its proper divisors (132456321175252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120414250510340 is a wasteful number, since it uses less digits than its factorization.

120414250510340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15371767 (or 15371765 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 120414250510340 in words is "one hundred twenty trillion, four hundred fourteen billion, two hundred fifty million, five hundred ten thousand, three hundred forty".